Fittazjonez
A pole casting a shadow 49 feet long with an angle of elevation of the sun of 44.8 degrees is 50 feet tall. (47.98 rounded to two places)
Tangent (theta) = opposite / adjacent
Tangent (44.9) = X / 49
X = 47.98
This does not take into account the curvature of the earth, but the error in this example is inconsequential, specifically an elevation error of about 0.015 percent.
Wiki User
∙ 14y agoBy means of trigonometry if you know the angle of elevation or by comparing it with a nearby object if you know its height and shadow length.
18.6 m/52.6 degrees tan= 14.2
Using tangent ratio for a right angle triangle: tan(48.4)*7.42 = 8.357 m which is the height of the flag pole rounded to 3 decimal places
Using trigonometry the angle of elevation is 77 degrees rounded to the nearest degree
Use the tangent angle of elevation which works out as 31.7497 degrees to four decimal places
When the angle of elevation equals 45 degrees. tan-1(1) = 45 degrees.
You can use trigonometry to find the angle of elevation. Let x be the distance from the tip of the shadow to the base of the pole and the height of the pole be y. Then, tan(60 degrees) = y/x. Given that the height of the pole is 12 feet, you can solve for x to find the angle of elevation.
The flagpole is 15.92 metres, approx.
Angle of elevation: tan-1(100/130) = 37.6 degrees rounded to one decimal place
If you also know its shadow then you can work out the angle of elevation
Using trigonometery if you know the length of its shadow and angle of elevation
By means of trigonometry if you know the angle of elevation or by comparing it with a nearby object if you know its height and shadow length.
18.6 m/52.6 degrees tan= 14.2
Using the sine rules in trigonometry the height of the mountain works out as 3704 meters in height to the nearest whole number.
It is: tan(52)*9 = 11.519 meters rounded to three decimal places
Using the tangent ratio height of telegraph pole is 55 feet to the nearest integer.
Using tangent ratio for a right angle triangle: tan(48.4)*7.42 = 8.357 m which is the height of the flag pole rounded to 3 decimal places